运动方程

The followings are studied in this paper:(1) The orbit is evaluated according to a three-dimensional numerical model of the aerated water jet.

根据掺气水舌入水喷溅特性，建立了水滴在重力、浮力、空气阻力、水舌风及环境风的作用下的水滴随机运动的微分方程，给出了数值计算模型求解降雨强度的计算方法。

Firstly, we calculate the Lie point symmetry of 1+2-dimensional nonlinear evolution equation:Which arises from the motion of plane curves in affine geometry.

我们首先计算了来自射影几何的平面曲线运动的非线性发展方程：所容许的李点对称群。

The approximate solution to FPK equation isobtained. The joint probability density function and stationary mean out-crossing rateare investigated for ship nonlinear rolling subjected to additive white noise excitation.Melnikov function and phase space flux are applied to analyze highly nonlinear rolland capsizing of ships in the random seas. The variation of phase space flux withrespect to the characteristic wave period, significant wave height and damping ofships is studied.

求FPK方程近似解，研究白噪声激励下船舶非线性横摇运动的联合概率密度函数及稳定期望穿阈率，应用Melnikov函数和相空间转移率研究船舶在随机波浪中的强非线性横摇运动及其倾覆问题，考虑波浪特征周期、有义波高及船舶阻尼特性的变化规律，推导了船舶在随机横浪中的极限波高的表达式。

For explain this equation, Jos's approach discard the equibalance force of density variation, only consider equibalance force from saturation of solute, it is equal the movement of fluid in the weightless condition, this is not realistic.

从方程的角度上来说， Jos 的算法里丢弃了水趋往均势的运动量，只包含了水中溶解物趋往均势的运动量，相当于无重力环境下水在平面上的运动，或者是溶解物在液面上运动，这是不符合实际的。

Based on the real observation data, forecast equitation or forecast model, the dynamics method such as divergence and vorticity calculation, real data correction, ascending and subsidence calculation was used to simulate the 4D field of divergence, vorticity and vertical velocity at different time, different range and different levels. The field was connected to 3D fields of insect trajectories, yielding the flying speed, direction, ascending area and subsidence. Thus the peak of immigratory insect could be timely monitored. A system of the peak of immigratory insect forecast was set up.

根据实际观测资料、数值预报方程或数值预报模式等输出的风场网格化处理结果，利用运动学方法、散度推算法、涡度推算法、实际资料订正法、升降法等对不同时间、不同范围、不同层次的四维散度、涡度和垂直运动速度场进行计算或模拟，将计算或模拟得到的散度场、涡度场、垂直运动速度场与昆虫迁飞的三维气流场联系起来，得到该类昆虫所具有的迁飞速度、方向、上升区和下降区，从而对昆虫的迁入峰进行实时预警。

In this paper, the effects of the rigid body motions and low frequency surface errors on the image quality were analyzed. Quadratic equations were used to build the mathematical model of the Wolter type I and II X-ray telescopes and reduce the computational complexity of ray tracing. With the help of a self-developed optical surface analysis code, the effects of the perturbations of the mirrors on the image quality was analyzed and the growth of the image spot formed by deformed telescopes was calculated, this is important for giving the reasonable fabrication tolerance.

在本篇文章中，详细分析了刚体运动误差和低频表面误差对成像质量的影响；使用空间解析几何学的二次曲面方程建立Wolter I、II型X射线掠入射望远镜镜片的数学模型，降低光线追踪的计算复杂度；借助自主开发的光学仿真软件分析了国内研制的X射线成像望远镜的刚体运动误差和低频表面误差对成像质量的影响，计算出像点艾里斑半径均方根值随误差变化的增长率，对工程上提出合理的制造公差的误差容限有重要的指导意义。

In the first place, the normal flexible body dynamics modelling method of continous system is built based on hamilton principle. And then taking the flexible beam tunning in the horizontal plan for example, in the assumption of Euler-Bernoulli beam,the identical linearilized vibration differential equation is deduced according to geometry constraint conditions .

首先基于Hamilton原理建立起一般柔性体连续系统的动力学建模方法，进而以水平面内作大范围回转运动的柔性梁为例，在Eu1er-Bemoulli梁模型的假设前提下，根据轴向不可伸长的柔性梁的几何约束条件，推导出作大范围刚体运动的柔性梁连续系统的一致线性化振动微分方程。

Kinematics and dynamics modeling and analyzing method of a 3-RRRT parallel robot was studied. Kinematic model of the 3-RRRT parallel robot was set up with both the branch bar's relative coordinates and movable platform's absolute coordinates used as it's generalized coordinates. On the base of Kane's equation, dynamics model of the 3-RRRT parallel robot was built. Dynamic Numerical simulation of the 3-RRRT parallel robot was finished by using Matlab software, and so it provides valuable reference for motion control strategy of the 3-RRRT parallel robot.

研究一种3-RRRT新型高速搬运机器人运动学与动力学建模及分析方法，以支链构件相对运动坐标和动平台绝对运动坐标作为广义坐标，建立了3-RRRT型并联机器人的运动学模型，结合带乘子的凯恩方程建立了3-RRRT型并联机器人的动力学模型，并利用Matlab软件平台进行了动力学数值仿真，进而为3-RRRT型并联机器人的控制策略研究提供参考。

Aimed at the shaking problem at the moment of high speed paper feeding by paper separation suction nozzle of feeder of the press, a set of inverse seeking designing method for the suction nozzle of paper separation mechanism was provided.

针对印刷机飞达分纸吸嘴高速输纸时的抖动问题，提供了一套分纸吸嘴机构反求设计的方法。根据实测凸轮廓线离散坐标，利用样条插值法得到了实际廓线的解析方程；构建了分纸机构运动反求的数学模型，得到了从动件及分纸吸嘴的运动规律。

Stochastic sand trajectories in wind-blown sand were obtained by solving the differential equation which describes the vertical fluctuating velocity of sand grains.

通过对描述沙粒垂向运动速度脉动分量的随机微分方程的直接求解，获得了风沙流中沙粒运动的随机轨迹。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐